Information on Result #718166
Linear OA(967, 80, F9, 51) (dual of [80, 13, 52]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(992, 127, F9, 51) (dual of [127, 35, 52]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(991, 125, F9, 51) (dual of [125, 34, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(990, 123, F9, 51) (dual of [123, 33, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(989, 120, F9, 51) (dual of [120, 31, 52]-code) | [i] | ✔ | |
| 5 | Linear OA(987, 116, F9, 51) (dual of [116, 29, 52]-code) | [i] | ✔ | |
| 6 | Linear OA(983, 100, F9, 57) (dual of [100, 17, 58]-code) | [i] | ✔ | |
| 7 | Linear OA(9107, 126, F9, 68) (dual of [126, 19, 69]-code) | [i] | ✔ | |
| 8 | Linear OA(9105, 124, F9, 67) (dual of [124, 19, 68]-code) | [i] | ✔ | |
| 9 | Linear OA(9107, 125, F9, 69) (dual of [125, 18, 70]-code) | [i] | ✔ | |
| 10 | Linear OA(9105, 123, F9, 68) (dual of [123, 18, 69]-code) | [i] | ✔ | |
| 11 | Linear OA(9106, 123, F9, 69) (dual of [123, 17, 70]-code) | [i] | ✔ | |
| 12 | Linear OA(9104, 121, F9, 68) (dual of [121, 17, 69]-code) | [i] | ✔ | |
| 13 | Linear OA(9101, 118, F9, 66) (dual of [118, 17, 67]-code) | [i] | ✔ | |
| 14 | Linear OA(988, 104, F9, 62) (dual of [104, 16, 63]-code) | [i] | ✔ | |